Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0)
For the canonical almost-geodesic mapping π2 (e = 0), we prove an analog of the Beltrami theorem in the theory of geodesic mappings. We introduce canonical π2-flat spaces and obtain metrics for them in a special coordinate system.
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4171 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510303838535680 |
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| author | Grigoreva, T. I. Григор'єва, Т. І. |
| author_facet | Grigoreva, T. I. Григор'єва, Т. І. |
| author_sort | Grigoreva, T. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:51Z |
| description | For the canonical almost-geodesic mapping π2 (e = 0), we prove an analog of the Beltrami theorem in the theory of geodesic mappings. We introduce canonical π2-flat spaces and obtain metrics for them in a special coordinate system. |
| first_indexed | 2026-03-24T02:54:52Z |
| format | Article |
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| id | umjimathkievua-article-4171 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:54:52Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/20/2cacf89cd2f59b99c1e5da668070c520.pdf |
| spelling | umjimathkievua-article-41712020-03-18T20:23:51Z Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0) Інваріантні геометричні об'єкт канонічного майже геодезичного відображення к π2 (e = 0) Grigoreva, T. I. Григор'єва, Т. І. For the canonical almost-geodesic mapping π2 (e = 0), we prove an analog of the Beltrami theorem in the theory of geodesic mappings. We introduce canonical π2-flat spaces and obtain metrics for them in a special coordinate system. Для канонічного майже геодезичного відображення π2 (e = 0),) доведено аналог іеоремн Бельтрамі теорії геодезичних відображень. Введено до розгляду канонічні π2плоскі простори, для яких отримано метрики в спеціальній системі координат. Institute of Mathematics, NAS of Ukraine 2002-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4171 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 10 (2002); 1329-1335 Український математичний журнал; Том 54 № 10 (2002); 1329-1335 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4171/5051 https://umj.imath.kiev.ua/index.php/umj/article/view/4171/5052 Copyright (c) 2002 Grigoreva T. I. |
| spellingShingle | Grigoreva, T. I. Григор'єва, Т. І. Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0) |
| title | Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0) |
| title_alt | Інваріантні геометричні об'єкт канонічного майже геодезичного відображення к π2 (e = 0) |
| title_full | Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0) |
| title_fullStr | Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0) |
| title_full_unstemmed | Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0) |
| title_short | Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0) |
| title_sort | invariant geometric objects of the canonical almost-geodesic mapping π2 (e = 0) |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4171 |
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